4.2 and 4.3 Congruent Triangles

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the Reflexive Property state?

Back

For any geometric figure, it is congruent to itself (e.g., triangle ABC is congruent to triangle ABC).

Front

What is the Vertical Angle Theorem?

Back

Vertical angles are always congruent; if two angles are opposite each other when two lines intersect, they are equal.

Front

What does the Angle-Side-Angle (ASA) congruence criterion state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does the Side-Angle-Side (SAS) congruence criterion state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does the Side-Side-Side (SSS) congruence criterion state?

Back

If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Front

What is the definition of complementary angles?

Back

Two angles that add up to 90 degrees.

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a geometric statement.

Front

What is the significance of the congruence symbol (≅)?

Back

It indicates that two figures are congruent, meaning they have the same shape and size.

Front

How can you determine if two triangles are congruent using the HL theorem?

Back

If a right triangle has one leg and the hypotenuse equal to the corresponding leg and hypotenuse of another right triangle, the triangles are congruent.